Homogenization of anisotropic elastoplastic behaviors of a porous polycrystal with interface effects

He, Zeming; Caratini, Grégory; Dormieux, Luc; Kondo, Djimédo

doi:10.1002/nag.2186

Cited by 6 publications

(2 citation statements)

References 39 publications

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“…A homogenization procedure is needed to obtain the average behavior at the scale of the REV . There are many different ways to homogenize the stress responses.…”

Section: Simulation Resultsmentioning

confidence: 99%

On the pore-scale mechanisms leading to brittle and ductile deformation behavior of crystalline rocks

Tjioe

Borja

2015

Int. J. Numer. Anal. Meth. Geomech.

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SUMMARYDeformation mechanisms at the pore scale are responsible for producing large strains in porous rocks. They include cataclastic flow, dislocation creep, dynamic recrystallization, diffusive mass transfer, and grain boundary sliding, among others. In this paper, we focus on two dominant pore-scale mechanisms resulting from purely mechanical, isothermal loading: crystal plasticity and microfracturing. We examine the contributions of each mechanism to the overall behavior at a scale larger than the grains but smaller than the specimen, which is commonly referred to as the mesoscale. Crystal plasticity is assumed to occur as dislocations along the many crystallographic slip planes, whereas microfracturing entails slip and frictional sliding on microcracks. It is observed that under combined shear and tensile loading, microfracturing generates a softer response compared with crystal plasticity alone, which is attributed to slip weakening where the shear stress drops to a residual level determined by the frictional strength. For compressive loading, however, microfracturing produces a stiffer response than crystal plasticity because of the presence of frictional resistance on the slip surface. Behaviors under tensile, compressive, and shear loading invariably show that porosity plays a critical role in the initiation of the deformation mechanisms. Both crystal plasticity and microfracturing are observed to initiate at the peripheries of the pores, consistent with results of experimental studies.

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“…A homogenization procedure is needed to obtain the average behavior at the scale of the REV . There are many different ways to homogenize the stress responses.…”

Section: Simulation Resultsmentioning

confidence: 99%

On the pore-scale mechanisms leading to brittle and ductile deformation behavior of crystalline rocks

Tjioe

Borja

2015

Int. J. Numer. Anal. Meth. Geomech.

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“…Regarding the third attempt, there are four approaches in the literature to determine a plastic Eshelby’s tensor. The first one [ 229 , 230 , 231 , 232 ] is named as anisotropic Eshelby tensor method, meaning that an instantaneous stiffness tensor of the matrix under an elastoplastic deformation is computed rigorously from a plasticity theory, such as Prandtl-Reuss model, and the corresponding Eshelby tensor is also anisotropic and evaluated through a numerical integration. This approach gives the most rigorous tensor but may result in a too stiff response [ 65 , 197 , 233 , 234 ].…”

Section: Review On Micromechanics Modelsmentioning

confidence: 99%

Analytical Micromechanics Models for Elastoplastic Behavior of Long Fibrous Composites: A Critical Review and Comparative Study

Wang

Huang

2018

Materials

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Elasto-plastic models for composites can be classified into three categories in terms of a length scale, i.e., macro scale, meso scale, and micro scale (micromechanics) models. In general, a so-called multi-scale model is a combination of those at various length scales with a micromechanics one as the foundation. In this paper, a critical review is made for the elastoplastic models at the micro scale, and a comparative study is carried out on most popular analytical micromechanics models for the elastoplastic behavior of long fibrous composites subjected to a static load, meaning that creep and dynamic response are not concerned. Each model has been developed essentially following three steps, i.e., an elastic homogenization, a rule to define the yielding of a constituent phase, and a linearization for the elastoplastic response. The comparison is made for all of the three aspects. Effects of other issues, such as the stress field fluctuation induced by a high contrast heterogeneity, the stress concentration factors in the matrix, and the different approaches to a plastic Eshelby tensor, are addressed as well. Correlation of the predictions by different models with available experimental data is shown.

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A micromechanical‐based elasto‐viscoplastic model for the Callovo‐Oxfordian argillite: Algorithms, validations, and applications

Zeng

Shao

Yao

2019

Num Anal Meth Geomechanics

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SummaryFor a potential geological barrier of high‐level radioactive waste repositories in France, the long‐term mechanical behavior of the Callovo‐Oxfordian (COx) argillite is the most concern for engineers. In this paper, a micromechanical‐based elasto‐viscoplastic model is proposed, and its numerical realization is our main object. The COx argillite is considered as a three‐phase composite consists of porous clay, quartz, and calcite. By assigning appropriate constitutive laws to those constituents, the macroscopic elasto‐viscoplastic behavior of the COx argillite is determined with an extended Hill's incremental approach. The numerical aspects includes (a) a new formulation is proposed for the plastic multiplier when adopting the overstress (Perzyna) model to define the viscoplastic strain. Meanwhile, a new formulation is also proposed to solve it within the framework of an implicit returning mapping scheme. (b) The corresponding consistent tangent moduli are strictly derived by extending the method proposed for solving plastic problems; (c) the efficiency of the proposed integration algorithms for the local constitutive equations and the homogenization procedure are validated, receptively, by a built‐in porous plasticity model of a commercial finite element (FE) program ABAQUS and by FE computations of a two‐phase unit cell; and (d) the proposed micromechanical model is finally applied to simulate experiment data in short‐term triaxial compression tests and long‐term triaxial creep tests. And the numerical results show that it is able to reflect the variation of the mechanical behavior with respect to the varied mineralogical compositions.

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Homogenization of anisotropic elastoplastic behaviors of a porous polycrystal with interface effects

Cited by 6 publications

References 39 publications

On the pore-scale mechanisms leading to brittle and ductile deformation behavior of crystalline rocks

On the pore-scale mechanisms leading to brittle and ductile deformation behavior of crystalline rocks

Analytical Micromechanics Models for Elastoplastic Behavior of Long Fibrous Composites: A Critical Review and Comparative Study

A micromechanical‐based elasto‐viscoplastic model for the Callovo‐Oxfordian argillite: Algorithms, validations, and applications

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